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Finding the Fourth Proportional to 404.22, 606.75 and 302.10

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Solution

The fourth proportional to 404.22, 606.75 and 302.10 is: 453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.22 : 606.75 = 302.10 : x
  2. Step 2: Convert to fraction form
    404.22/606.75 = 302.10/x
  3. Step 3: Cross multiply
    404.22x = 606.75 × 302.10
  4. Step 4: Simplify right side
    404.22x = 183,299.18
  5. Step 5: Solve for x
    x = 183,299.18/404.22
  6. Step 6: Final answer
    x = 453.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.